Geodesic orbit Riemannian structures on \(\mathbf{R}^n\)

DOI10.1016/j.geomphys.2018.08.018zbMath1407.53032arXiv1803.01023OpenAlexW2792243173WikidataQ115352865 ScholiaQ115352865MaRDI QIDQ1629715

Carolyn S. Gordon, Yurii Gennadyevich Nikonorov

Publication date: 12 December 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01023

zbMATH Keywords

homogeneous Riemannian manifoldgroup of isometriesgeodesic orbit spaceRiemannian symmetric spaceRiemannian nilmanifoldgeodesic orbit manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (15)

Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces ⋮ Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Geodesic orbit Finsler \((\alpha,\beta)\) metrics ⋮ Unnamed Item ⋮ Structure of geodesics in weakly symmetric Finsler metrics on H-type groups ⋮ Geodesic graphs in Randers g.o. spaces ⋮ Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition ⋮ Unnamed Item ⋮ Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds ⋮ On a class of geodesic orbit spaces with abelian isotropy subgroup ⋮ Geodesic orbit spaces of compact Lie groups of rank two ⋮ Spectral properties of Killing vector fields of constant length ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

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